Equivalent Magnetic Network Modeling of Dual-Winding Outer-Rotor Vernier Permanent Magnet Machine Considering Pentagonal Meshing in he Air-Gap

The dual-winding outer-rotor Vernier-permanent-magnet (VPM) generator, which possesses two-phase-windings inserted in the stator core with two slot levels of shallow and deep and saturable tooth-tips with narrow regions, has already been presented and studied for the traffic-enforcement-camera applications. The flux lines routes in this VPM generator have a complex pattern because of existing flux modulation poles, deep slots and fringing and leakage fluxes in different parts. Hence, the accurate analytical modeling of this special machine requires an advanced method. To fulfill this aim, equivalent-magnetic-network (EMN) model of the VPM generator is extracted in this article by combining reluctance-network-model and magnetic-equivalent-circuit. simpler mathematical equations and lower computational burden are advantages of the proposed EMN model in comparison with finite-element (FE) model. The method of finding the rotor position based on the region selection and considering the effect of the slot permeances and magnetic saturation under both no-load and on-load operating conditions are the other novelties highlighted. Also, especial pentagonal-shape meshes with unequal sides' lengths and angles are proposed for the air-gap meshing, which can effectively model the complex flux routs. Test results and FE simulations are used to validate the accuracy of the developed EMN for the investigated VPM generator.